183 citations · 444 across the 28 of their papers we have counts for
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math.CO2013★ 2 cited
Towards a Combinatorial Understanding of Lattice Path Asymptotics
Samuel Johnson, Marni Mishna, Karen Yeats
We provide a new strategy to compute the exponential growth constant of enumeration sequences counting walks in lattice path models restricted to the quarter plane. The bounds aris…
math.CO2013★ 47 cited
Singularity analysis via the iterated kernel method
Stephen Melczer, Marni Mishna
In the quarter plane, five lattice path models with unit steps have resisted the otherwise general approach of Fayolle, Rachel, and Kurkova. Here we consider these five models, cal…